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dc.contributor.authorHai Q. Dinhen_US
dc.contributor.authorAbhay Kumar Singhen_US
dc.contributor.authorPratyush Kumaren_US
dc.contributor.authorSongsak Sriboonchittaen_US
dc.description.abstract© 2019 Elsevier B.V. Let R=GR(pe,m)[u]∕〈uk〉 be a finite commutative ring for a prime p and any positive integers e,m and k. In this paper, we derive the explicit representation of cyclic codes over the ring R of length n, where n and p are coprime. We also discuss the dual of such cyclic codes over the ring R and give a sufficient condition for the codes to be self-dual. Moreover, we study quasi-cyclic codes of length kn and index k over the ring R, and obtain some good codes satisfying the bound given in Dougherty and Shiromoto (2000) over the ring Z9 as an example.en_US
dc.titleCyclic codes over the ring GR(p<sup>e</sup>,m)[u]∕〈u<sup>k</sup>〉en_US
article.title.sourcetitleDiscrete Mathematicsen_US Universityen_US Institute of Technology (Indian School of Mines), Dhanbaden_US Mai Universityen_US
Appears in Collections:CMUL: Journal Articles

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